WASHINGTON, D.C.  20549

                                   FORM 8-K

              Current Report Pursuant to Section 13 or 15(d) of
                    the Securities Exchange Act of 1934

        Date of Report (Date of earliest event reported): October 14, 2004

                            SOUTHWEST AIRLINES CO.
            (Exact name of registrant as specified in its charter)

               (State or other jurisdiction of incorporation)

            1-7259                                        74-1563240
    (Commission File Number)                 (IRS Employer Identification No.)

   P. O. Box 36611, Dallas, Texas                         75235-1611
 (Address of principal executive offices)                 (Zip Code)

      Registrant's telephone number, including area code (214) 792-4000

       (Former name or former address, if changed since last report)

Item 2.02  Results of Operations and Financial Condition.

            On October 14, 2004, the Registrant issued a press release
announcing its financial results for the third quarter of 2004.  The press
release is furnished herewith as Exhibit 99.1 and is incorporated herein by

    The information furnished in Item 2.02 shall not be deemed
"filed" for purposes of Section 18 of the Securities Exchange Act of 1934, as
amended, or otherwise subject to the liabilities of that section, nor shall 
such information be deemed incorporated by reference in any filing under the
Securities Exchange Act of 1933, as amended, regardless of any general
incorporation language in such filing, except as shall be expressly set forth
by specific reference in such filing. 

            Pursuant to the requirements of the Securities Exchange Act of 
1934, the registrant has duly caused this report to be signed on its behalf by
the undersigned thereunto duly authorized.
                                            SOUTHWEST AIRLINES CO.

                                          By:     /s/ Laura Wright       
                                                  Laura Wright
                                                  Senior Vice President-Finance
                                                  Chief Financial Officer

Date: October 14, 2004

                             INDEX TO EXHIBITS

         No.                               Exhibit
        99.1    Registrant's Third Quarter 2004 Earnings Release.